Given two parallel lines xy and zt. Three points A, B and C are on line xy, two points D and E are on line zt. Draw lines passing through the pair of points. How many lines are there? (including xy and zt). Answer: 8

Bài giải chi tiết:

3 x 2 = 66 + 2 = 8

In a promotional sale, anyone who buys a bottle of juice at the regular price of 7 dollars can get a second bottle of juice by paying 1 more dollar. A group has 9 people, each of them wants a bottle of juice. How many dollars does the group have to pay at least? Answer: 39

The 8 people at a party are 4 couples. Each man shakes hands with everyone except his own wife. No women shake hands with each other. What is the total number of handshakes among these 14 peoples? Answer: 18

Bài giải chi tiết:

If there are two people at a party, they can shake hands once. Thereis no one else left to shake hands with, so there is only onehandshake total.

2 people, 1 handshake

If there are three people at a party, the first person can shake hands with the two other people (two handshakes). Person two has already shaken hands with person one, but he can still shake hands with person three (one handshake). Person three has shaken hands with both of them, so the handshakes are finished. 2 + 1 = 3.

3 people, 3 handshakesIf there are four people at a party, person one can shake hands with three people, person two can shake hands with two new people, and person three can shake hands with one person. 3 + 2 + 1 = 6.

4 people, 6 handshakes

Are you seeing a pattern?

If you have five people, person five shakes four other hands, person four shakes three other hands, person three shakes two other hands, and person two shakes one hand. Another way to see it is,

Person 5 Person 4 Person 3 Person 2

4 + 3 + 2 + 1 = 10 handshakes total

====================================================People at Party Number of Handshakes

There are four kids. If we compute the total ages of three of them at a tim, the sum are 22, 20, 17, 25 reapectively. What is the difference in age between the oldest and the youngest among these four kids? Answer: 8

Bài giải chi tiết:

25 - 17 = 8

The general form of number is divided by 3 with the remainder 2 is...Answer: 3k + 2 (k ∈ N)

What number is represented by the following symbol? XIX. Answer: 19

Which statement is false? Answer: February has 30days

Which statement is true? Answer: 0 is the smallest natural number

Write in numeral form: five hundred and twenty. Answer: 520

Use each of the digits 3, 4, 5 and 6 exactly once to form two 2 - digit number. What is the difference between the largest possible product and the smallest possible product of two such numbers? Answer: 1792

Câu 9:Calculate: 1/10 + 2/10 + 3/10 + 4/10 + 5/10 + 6/10 + 7/10 + 8/10 + 9/10 + 55/10 = 10 .Câu 8:Examining the operation of how to use the number of days to find the number of beans in a classroom jar is shown the table. On day 31, how many beans would be in the jar?

Answer: 97 beans.

Bài giải chi tiết:

3 x 31 + 4 = 97

Câu 1:How many apples would you get from the 10th tree if a farmer notices a pattern from picking the apples on the 1st through the 10th tree. He picked 4 from the first tree, 7 from the second tree and 10 from the third tree.

Answer: 31

Bài giải chi tiết:

10 + (9 x 2 ) + 3 = 31

Câu 3:If Juan spent 1/4 of his money on a game that costs 20 dollar, how much did Juan have originally to spend?Use the diagram below to reason the answer.

Câu 9:If your parents give you one penny on Day 1, 2 pennies on Day 2, 4 pennies on Day 3, 8 pennies on Day 4. If the pattern continues, how many pennies will your parents give you on Day 15?Answer: 16384 pennies.

Câu 1:It takes Abby twice as long as Blair and half as long as Caitlin to ride her bike to school. If it takes Blair 10 minutes to ride her bike to school, how long does it take Caitlin to go to school?Answer: 40 minutes.

Câu 9:Joel is three years younger than his brother Jaime. The sum of their ages is fifty-five. How old is Joel?Answer: 26 years old.

Bài giải chi tiết:

Tuổi của Joel là: (55 - 3) : 2 = 26 (tuổi)

Câu 4:Mathematician Sophie Germain worked with codes and mathematics. If each letter of the alphabet is assigned a number starting with A = 1, B = 2, etc., the values of the letters in the alphabet will start to look like this:If your code is sum of the letter values, what is the value of "MATH" ?Answer: 42

Câu 5:The 112 4-grade students at Edgemont School donate pennies to raise 75 dollar for a local charity. What is the minimum number of pennies each student needs to bring if they are to meet their goal of collecting 75 dollar?(1 dollar = 100 pennies)Answer: 67 pennies.

Bài giải chi tiết:

75 x 100 : 112 = 66.96

Câu 5:The difference between two numbers is 3. Their sum is 33. What are the two numbers?Answer: The two numbers are 15;18.(write your answer in order from least to greatest and use ";" between the numbers)

Bài giải chi tiết:

Số nhỏ là: (33 - 3) : 2 = 15Số lớn là: 33 - 15 = 18

Câu 10:What is the next number in the pattern: 1, 8, 27, ...?Answer: 64

Bài giải chi tiết:

1³, 2³, 3³, ... So the next entry is 4³ = 64

Câu 3:What is the next number in the pattern: 25, 23, 21, 19, 17, ...?Answer: 15

Câu 8:Use the table of values to help you find the value of 9 feet in inches.Answer: The value of 9 feet in inches is: 9 x 12 = 108

Câu 7:Your school is having a canned food drive for Harvesters. How many total cans would you have if you made a solid pyramid with 15x15 cans on the first level, 14x14 on the second level and continue the pattern all the way up to just one can on top?Answer: 1240 cans.

Jenny bought 7 T - shirts for her seven brothers, for $9.85 each. The cashier charged her an additional $ 10.77 in sales tax. She left the store with $10.28. how much money did Jenny have at first? Answer: 90

The difference between two numbers is 6259. If the smaller number is 3927, find the larger number.

Giải:

Answer: 10186

There are 36 classes in a school. Every class sends four pupils to take part in a mathematics quiz. How many pupils are taking part in the mathematics quiz? Answer: 144

There are 1783 blue marbles, 965 green marbles and 874 red marbles in a box. Calculate the total number of marbles in the box. Answer: 3622

What is the value of the digit 6 in the number 5627389? Answer: 60000

Which the follwing number is divisible by 24? Answer: 6936

Zea bought 3 boxes of apples, each box contained 50 apples. 25 apples were rotten and were thrown away. He packed the remaining apples equally into 5 bag. How many apples were there in each bag? Answer: 25

Câu 10:An had 60 marbles. An wanted to put them in bags so that there are equal numbers of marbles in each bag. How many ways can An equally put the 60 marbles in bags? (Including the case putting in one bag)Answer: There are 12 ways.

Alice has some apples. She gave half of them to her father and she ate one apple. She then gave her mother half of the remains and she again ate one apple. Finally, she gave half of the remains to her brother she ate another apple. At that time, she still has 2 apples left. How many apples did she have in the beginning? Answer: 30

What is the difference between the largest and the smallest 2 - digit numbers that can be formed by the four digitis 0, 5, 6 and 2? (Each digit must be used once and only once). Answer: 45

Giải:

Hiệu của số lớn nhất và số nhỏ nhất là: 65 - 20 = 45

What is the largest 3 - digit number so that it has a remainder of 2 when being divided by 4 and it has a remainder of 4 when being divided by 6 and it has a remainder of 2 when being divided by 7? Answer: 982